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Bi-fractional Wigner functions

Agyo, Sanfo D.
; 
Lei, Ci
; 
Publication Date
2016
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Keywords
Wigner functions, Fourier transforms
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© 2016 The Authors. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence (http://creativecommons.org/licenses/by/3.0/legalcode). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
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Abstract
Two fractional Fourier transforms are used to define bi-fractional displacement operators, which interpolate between displacement operators and parity operators. They are used to define bi-fractional coherent states. They are also used to define the bi-fractional Wigner function, which is a two-parameter family of functions that interpolates between the Wigner function and the Weyl function. Links to the extended phase space formalism are also discussed.
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http://hdl.handle.net/10454/11002
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Published version
Citation
Agyo S, Lei CI and Vourdas A (2016) Bi-fractional Wigner functions. Journal of Physics: Conference series. 597. Conference 1.
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https://doi.org/10.1088/1742-6596/597/1/012007
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Conference paper
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